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non-flush example flush example



distribution of hand types
distinct combinations probability odds
royal flush 0 0 impossible impossible
straight flush 0 0 impossible impossible
four of a kind 0 0 impossible impossible
full house 0 0 impossible impossible
flush 45 180 0.29% 1 : 344
straight 0 0 impossible impossible
three of a kind 3 192 0.31% 1 : 322
two pairs 3 432 0.70% 1 : 143
one pair 40 15,360 24.75% 1 : 3.04
high card 45 45,900 73.96% 2.84 : 1
total 136 62,064 100 %



note: in the table below, a flush (or straight flush or royal flush) can by definition only occur if all five cards are of the same suit.
therefore, the "s" next to hole cards means that the hole cards are suited AND all three flop cards are of that suit, too.


ranking of all 136 distinct hole cards
hole cards hand category combinations probability odds equity
nuts KQs AKQT2 flush 4 0.01% 1 : 15515 100.00%
2 KJs AKJT2 flush 4 0.01% 1 : 15515 99.99%
3 K9s AKT92 flush 4 0.01% 1 : 15515 99.99%
4 K8s AKT82 flush 4 0.01% 1 : 15515 99.98%
5 K7s AKT72 flush 4 0.01% 1 : 15515 99.97%
6 K6s AKT62 flush 4 0.01% 1 : 15515 99.97%
7 K5s AKT52 flush 4 0.01% 1 : 15515 99.96%
8 K4s AKT42 flush 4 0.01% 1 : 15515 99.95%
9 K3s AKT32 flush 4 0.01% 1 : 15515 99.95%
10 QJs AQJT2 flush 4 0.01% 1 : 15515 99.94%
11 Q9s AQT92 flush 4 0.01% 1 : 15515 99.94%
12 Q8s AQT82 flush 4 0.01% 1 : 15515 99.93%
13 Q7s AQT72 flush 4 0.01% 1 : 15515 99.92%
14 Q6s AQT62 flush 4 0.01% 1 : 15515 99.92%
15 Q5s AQT52 flush 4 0.01% 1 : 15515 99.91%
16 Q4s AQT42 flush 4 0.01% 1 : 15515 99.90%
17 Q3s AQT32 flush 4 0.01% 1 : 15515 99.90%
18 J9s AJT92 flush 4 0.01% 1 : 15515 99.89%
19 J8s AJT82 flush 4 0.01% 1 : 15515 99.88%
20 J7s AJT72 flush 4 0.01% 1 : 15515 99.88%
21 J6s AJT62 flush 4 0.01% 1 : 15515 99.87%
22 J5s AJT52 flush 4 0.01% 1 : 15515 99.86%
23 J4s AJT42 flush 4 0.01% 1 : 15515 99.86%
24 J3s AJT32 flush 4 0.01% 1 : 15515 99.85%
25 98s AT982 flush 4 0.01% 1 : 15515 99.85%
26 97s AT972 flush 4 0.01% 1 : 15515 99.84%
27 96s AT962 flush 4 0.01% 1 : 15515 99.83%
28 95s AT952 flush 4 0.01% 1 : 15515 99.83%
29 94s AT942 flush 4 0.01% 1 : 15515 99.82%
30 93s AT932 flush 4 0.01% 1 : 15515 99.81%
31 87s AT872 flush 4 0.01% 1 : 15515 99.81%
32 86s AT862 flush 4 0.01% 1 : 15515 99.80%
33 85s AT852 flush 4 0.01% 1 : 15515 99.79%
34 84s AT842 flush 4 0.01% 1 : 15515 99.79%
35 83s AT832 flush 4 0.01% 1 : 15515 99.78%
36 76s AT762 flush 4 0.01% 1 : 15515 99.77%
37 75s AT752 flush 4 0.01% 1 : 15515 99.77%
38 74s AT742 flush 4 0.01% 1 : 15515 99.76%
39 73s AT732 flush 4 0.01% 1 : 15515 99.76%
40 65s AT652 flush 4 0.01% 1 : 15515 99.75%
41 64s AT642 flush 4 0.01% 1 : 15515 99.74%
42 63s AT632 flush 4 0.01% 1 : 15515 99.74%
43 54s AT542 flush 4 0.01% 1 : 15515 99.73%
44 53s AT532 flush 4 0.01% 1 : 15515 99.72%
45 43s AT432 flush 4 0.01% 1 : 15515 99.72%
 
46 AA AAAT2 three of a kind 64 0.10% 1 : 969 99.71%
47 TT ATTT2 three of a kind 64 0.10% 1 : 969 99.61%
48 22 AT222 three of a kind 64 0.10% 1 : 969 99.50%
 
49 AT AATT2 two pairs 144 0.23% 1 : 430 99.40%
50 A2 AAT22 two pairs 144 0.23% 1 : 430 99.17%
51 T2 ATT22 two pairs 144 0.23% 1 : 430 98.94%
 
52 AK AAKT2 one pair 384 0.62% 1 : 161 98.70%
53 AQ AAQT2 one pair 384 0.62% 1 : 161 98.09%
54 AJ AAJT2 one pair 384 0.62% 1 : 161 97.47%
55 A9 AAT92 one pair 384 0.62% 1 : 161 96.85%
56 A8 AAT82 one pair 384 0.62% 1 : 161 96.23%
57 A7 AAT72 one pair 384 0.62% 1 : 161 95.61%
58 A6 AAT62 one pair 384 0.62% 1 : 161 94.99%
59 A5 AAT52 one pair 384 0.62% 1 : 161 94.37%
60 A4 AAT42 one pair 384 0.62% 1 : 161 93.75%
61 A3 AAT32 one pair 384 0.62% 1 : 161 93.14%
62 KK AKKT2 one pair 384 0.62% 1 : 161 92.52%
63 QQ AQQT2 one pair 384 0.62% 1 : 161 91.90%
64 JJ AJJT2 one pair 384 0.62% 1 : 161 91.28%
65 KT AKTT2 one pair 384 0.62% 1 : 161 90.66%
66 QT AQTT2 one pair 384 0.62% 1 : 161 90.04%
67 JT AJTT2 one pair 384 0.62% 1 : 161 89.42%
68 T9 ATT92 one pair 384 0.62% 1 : 161 88.81%
69 T8 ATT82 one pair 384 0.62% 1 : 161 88.19%
70 T7 ATT72 one pair 384 0.62% 1 : 161 87.57%
71 T6 ATT62 one pair 384 0.62% 1 : 161 86.95%
72 T5 ATT52 one pair 384 0.62% 1 : 161 86.33%
73 T4 ATT42 one pair 384 0.62% 1 : 161 85.71%
74 T3 ATT32 one pair 384 0.62% 1 : 161 85.09%
75 99 AT992 one pair 384 0.62% 1 : 161 84.47%
76 88 AT882 one pair 384 0.62% 1 : 161 83.86%
77 77 AT772 one pair 384 0.62% 1 : 161 83.24%
78 66 AT662 one pair 384 0.62% 1 : 161 82.62%
79 55 AT552 one pair 384 0.62% 1 : 161 82.00%
80 44 AT442 one pair 384 0.62% 1 : 161 81.38%
81 33 AT332 one pair 384 0.62% 1 : 161 80.76%
82 K2 AKT22 one pair 384 0.62% 1 : 161 80.14%
83 Q2 AQT22 one pair 384 0.62% 1 : 161 79.52%
84 J2 AJT22 one pair 384 0.62% 1 : 161 78.91%
85 92 AT922 one pair 384 0.62% 1 : 161 78.29%
86 82 AT822 one pair 384 0.62% 1 : 161 77.67%
87 72 AT722 one pair 384 0.62% 1 : 161 77.05%
88 62 AT622 one pair 384 0.62% 1 : 161 76.43%
89 52 AT522 one pair 384 0.62% 1 : 161 75.81%
90 42 AT422 one pair 384 0.62% 1 : 161 75.19%
91 32 AT322 one pair 384 0.62% 1 : 161 74.57%
 
92 KQ AKQT2 high card 1,020 1.64% 1 : 59.8 73.96%
93 KJ AKJT2 high card 1,020 1.64% 1 : 59.8 72.31%
94 K9 AKT92 high card 1,020 1.64% 1 : 59.8 70.67%
95 K8 AKT82 high card 1,020 1.64% 1 : 59.8 69.03%
96 K7 AKT72 high card 1,020 1.64% 1 : 59.8 67.38%
97 K6 AKT62 high card 1,020 1.64% 1 : 59.8 65.74%
98 K5 AKT52 high card 1,020 1.64% 1 : 59.8 64.10%
99 K4 AKT42 high card 1,020 1.64% 1 : 59.8 62.45%
100 K3 AKT32 high card 1,020 1.64% 1 : 59.8 60.81%
101 QJ AQJT2 high card 1,020 1.64% 1 : 59.8 59.16%
102 Q9 AQT92 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q8 AQT82 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q7 AQT72 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q6 AQT62 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q5 AQT52 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q4 AQT42 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q3 AQT32 high card 1,020 1.64% 1 : 59.8 47.66%
109 J9 AJT92 high card 1,020 1.64% 1 : 59.8 46.02%
110 J8 AJT82 high card 1,020 1.64% 1 : 59.8 44.37%
111 J7 AJT72 high card 1,020 1.64% 1 : 59.8 42.73%
112 J6 AJT62 high card 1,020 1.64% 1 : 59.8 41.09%
113 J5 AJT52 high card 1,020 1.64% 1 : 59.8 39.44%
114 J4 AJT42 high card 1,020 1.64% 1 : 59.8 37.80%
115 J3 AJT32 high card 1,020 1.64% 1 : 59.8 36.16%
116 98 AT982 high card 1,020 1.64% 1 : 59.8 34.51%
117 97 AT972 high card 1,020 1.64% 1 : 59.8 32.87%
118 96 AT962 high card 1,020 1.64% 1 : 59.8 31.23%
119 95 AT952 high card 1,020 1.64% 1 : 59.8 29.58%
120 94 AT942 high card 1,020 1.64% 1 : 59.8 27.94%
121 93 AT932 high card 1,020 1.64% 1 : 59.8 26.30%
122 87 AT872 high card 1,020 1.64% 1 : 59.8 24.65%
123 86 AT862 high card 1,020 1.64% 1 : 59.8 23.01%
124 85 AT852 high card 1,020 1.64% 1 : 59.8 21.37%
125 84 AT842 high card 1,020 1.64% 1 : 59.8 19.72%
126 83 AT832 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 AT762 high card 1,020 1.64% 1 : 59.8 16.43%
128 75 AT752 high card 1,020 1.64% 1 : 59.8 14.79%
129 74 AT742 high card 1,020 1.64% 1 : 59.8 13.15%
130 73 AT732 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 AT652 high card 1,020 1.64% 1 : 59.8 9.86%
132 64 AT642 high card 1,020 1.64% 1 : 59.8 8.22%
133 63 AT632 high card 1,020 1.64% 1 : 59.8 6.57%
134 54 AT542 high card 1,020 1.64% 1 : 59.8 4.93%
135 53 AT532 high card 1,020 1.64% 1 : 59.8 3.29%
136 43 AT432 high card 1,020 1.64% 1 : 59.8 1.64%